The number 4761
4761 is a perfect square (69²). Its prime factorisation is × . Divisors (9): 1, 3, 9, 23, 69, 207, 529, 1587, 4761.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4761: a perfect square (69²).
- 2
4761 is composite. Its prime factorisation is
- 3
The divisors add up to 7189; without 4761 itself that is 2428, so 4761 is deficient (2428 is less than 4761). Euler's totient φ(4761) = 3036 numbers up to 4761 share no factor with it.
- 4
The digits of 4761 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4761 = 3^{2} \times 23^{2} \]4761 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 9 |
| Sum of divisors | 7189 |
| Euler totient φ(n) | 3036 |
| Square | 22667121 |
| Cube | 107918163081 |
| Square root | 69 |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 33 |
| Scientific notation | 4.761 × |
| Perfect power |
4761 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and sixty-one |
| Binary (base 2) | 1001010011001 |
| Octal (base 8) | 11231 |
| Hexadecimal (base 16) | 1299 |
| Base 3 | 20112100 |
| As time | 4761 seconds = 1 h 19 min 21 s |
Is 4761 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4761 ÷ 3 = 1587) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4761 ÷ 9 = 529) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4761 a prime number?
No. 4761 = × , so it is divisible by 3.
What are the factors of 4761?
1, 3, 9, 23, 69, 207, 529, 1587, 4761.
What is 4761 in binary?
1001010011001 (hexadecimal 1299, octal 11231).
What is the square root of 4761?
69, because 69 × 69 = 4761.
Is 4761 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4761?
4761 is a perfect square (69²).